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Lostsunrise [7]
3 years ago
10

An animal shelter has 104 cats and dogs. The ratio of cats to dogs is 5:3. How many cats are at the shelter?

Mathematics
2 answers:
Aneli [31]3 years ago
7 0

Answer:

65 cats

Step-by-step explanation:

cats: dogs: total

5:     3:        5+3=8

We need 8 to be 104

104/8 = 13

Multiply each by 13

cats: dogs: total

5*13:   3*13:  8*13

65        39     104

There are 65 cats and 39 dogs

kolezko [41]3 years ago
6 0

Answer:

65 cats

Step-by-step explanation:

104/d=5/3

(d)104/d=5/3(d)

104=5/3d

(3/5)104=5/3d(3/5)

312/5=d

64.4=d

65 cats

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92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
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4 years ago
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